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Finding the Fourth Proportional to 2,156.87, 3,238.54 and 1,233.47

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Solution

The fourth proportional to 2,156.87, 3,238.54 and 1,233.47 is: 1,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.87 : 3,238.54 = 1,233.47 : x
  2. Step 2: Convert to fraction form
    2,156.87/3,238.54 = 1,233.47/x
  3. Step 3: Cross multiply
    2,156.87x = 3,238.54 × 1,233.47
  4. Step 4: Simplify right side
    2,156.87x = 3,994,622.66
  5. Step 5: Solve for x
    x = 3,994,622.66/2,156.87
  6. Step 6: Final answer
    x = 1,852.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.